Real World System of Inequalities

Consists of two or more linear inequalities with the same variables

• Linear Equation

• System of Equations

• System of Inequalities

• Ineqaulity

Two regions created on a graph when separated by a boundary line

• Quadrant

• Half - Plane

• Sides

• Solution

Part of the coordinate plane in which the ordered pairs are solutions to all inequalities in the system

• Solution Region

• Graph

• Quadrant

• Half Plane

Which coordinate point is a solution to the system of inequalities?

• (o,o)

• (2,2)

• (1,-3)

• (4,-1)

Is (-2,4) a solution to the system?

• Solution

• Not a solution

Tell whether the ordered pair 
(-3, 0) is a solution of the given system.
y ≤ x + 4
y ≥ 2x - 6

• Yes

• No

Which point is a solution to the system of inequalities?

• (-8,2)

• (-2,-5)

• (0,6)

• (4, 3)

Ellie is renting a paddle boat. The boat rents for a $5 fee plus $3.50 per hour. She wants to spend under $30 altogether. Write the inequality to determine how long she can rent the paddle boat.

• 5x + 3.50 < 30

• 5 + 3.50x < 30

• 5x + 3.50 ≤ 30

• 5 + 3.50x ≤ 30

Kori wants to raise at least $450 to donate to her school. She has raised $45 by having a yard sale She plans to bake pies and sell them to make the remaining money. If she plans to sell the pies for $15 each, write an inequality to determine how many pies she must sell to meet or exceed her goal.

• 45x + 15 ≥ 450

• 15x + 45 ≤ 450

• 15x + 45 ≥ 450

• 15x + 45 > 450

Ken has $40 to spend on groceries. He buys a ham for $14 and then wants to pick up apples for $2.50 per pound. Write an inequality to determine how many pounds of apples he can buy and stay within budget.

• 2.5x + 14 > 40

• 2.5x + 14 < 40

• 2.5 + 14x ≤ 40

• 14 + 2.5x ≤ 40